Mister Exam

Lang:

Other calculators

How to use it?
Integral of d{x}:
Integral of 2/x^4
Integral of e^(3*x)/3
Integral of log(x+1)/(x^2+1)
Integral of 1/(x^3-1)^2
Graphing y =:
4x^2-x^2
Identical expressions
4x^ two -x^ two
4x squared minus x squared
4x to the power of two minus x to the power of two
4x2-x2
4x²-x²
4x to the power of 2-x to the power of 2
4x^2-x^2dx
Similar expressions
4x^2+x^2

Solving integrals/ 4x^2-x^2

Integral of 4x^2-x^2 dx

The solution

You have entered [src]

  4               
  /               
 |                
 |  /   2    2\   
 |  \4*x  - x / dx
 |                
/                 
0

$$\int\limits_{0}^{4} \left(- x^{2} + 4 x^{2}\right)\, dx$$

Integral(4*x^2 - x^2, (x, 0, 4))

Detail solution

Integrate term-by-term:
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \left(- x^{2}\right)\, dx = - \int x^{2}\, dx$
  1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
    
    $\int x^{2}\, dx = \frac{x^{3}}{3}$
  So, the result is: $- \frac{x^{3}}{3}$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int 4 x^{2}\, dx = 4 \int x^{2}\, dx$
  1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
    
    $\int x^{2}\, dx = \frac{x^{3}}{3}$
  So, the result is: $\frac{4 x^{3}}{3}$
The result is: $x^{3}$
Add the constant of integration:

$x^{3}+ \mathrm{constant}$

The answer is:

$x^{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                       
 |                        
 | /   2    2\           3
 | \4*x  - x / dx = C + x 
 |                        
/

$$\int \left(- x^{2} + 4 x^{2}\right)\, dx = C + x^{3}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$64$$

=

$$64$$

Numerical answer [src]

64.0

64.0

Use the examples entering the upper and lower limits of integration.